What is (8a^2-6a^3+4a)+(4a^3+a^2-4a-5) ?

The solution to (8a^2-6a^3+4a)+(4a^3+a^2-4a-5) is -2a^3+9a^2-5

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simplify (8a^2-6a^3+4a)+(4a^3+a^2-4a-5)

simplify

(8 a^{2} - 6 a^{3} + 4 a) + (4 a^{3} + a^{2} - 4 a - 5)

- 2 a^{3} + 9 a^{2} - 5

Solution steps

(8 a^{2} - 6 a^{3} + 4 a) + (4 a^{3} + a^{2} - 4 a - 5)

Simplify

(8 a^{2} - 6 a^{3} + 4 a) + (4 a^{3} + a^{2} - 4 a - 5) : 8 a^{2} - 6 a^{3} + 4 a + 4 a^{3} + a^{2} - 4 a - 5

= 8 a^{2} - 6 a^{3} + 4 a + 4 a^{3} + a^{2} - 4 a - 5

Group like terms

= - 6 a^{3} + 4 a^{3} + 8 a^{2} + a^{2} + 4 a - 4 a - 5

Add similar elements:

- 6 a^{3} + 4 a^{3} = - 2 a^{3}

= - 2 a^{3} + 8 a^{2} + a^{2} + 4 a - 4 a - 5

Add similar elements:

8 a^{2} + a^{2} = 9 a^{2}

= - 2 a^{3} + 9 a^{2} + 4 a - 4 a - 5

Add similar elements:

4 a - 4 a = 0

= - 2 a^{3} + 9 a^{2} - 5

\frac{9}{7} - \frac{8}{5}

\frac{9}{8 x} + \frac{5}{4 x}

a^{3} (a - b + 1) - b^{2} (a - b + 1)

(x^{2} + 3 x + 2)^{2}

x^{4} - 7 x^{2} - 8

What is (8a^2-6a^3+4a)+(4a^3+a^2-4a-5) ?
The solution to (8a^2-6a^3+4a)+(4a^3+a^2-4a-5) is -2a^3+9a^2-5